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Matematicheskie Zametki, 2022, Volume 111, Issue 1, paper published in the English version journal (Mi mzm13399)  
Papers published in the English version of the journal

Local Recovery Bounds for Prior Support Constrained Compressed Sensing

K. Z. Najiya, Munnu Sonkar, C. S. Sastry

Department of Mathematics, Indian Institute of Technology, Hyderabad, 502285 India
Abstract: Prior support constrained compressed sensing has of late become popular due to its potential for applications. The existing results on recovery guarantees provide global recovery bounds in the sense that they deal with full support. However, in some applications, one might be interested in the recovery guarantees limited to the given prior support, such bounds may be termed as local recovery bounds. The present work proposes local recovery guarantees and analyzes the conditions on associated parameters that make recovery error small.
Keywords: compressed sensing, prior support, weighted 1-norm minimization, local recovery guarantees.
Funding agency Grant number
University Grants Commission JRF/2016/409284
Ministry of Human Resource and Development
Council of Scientific and Industrial Research 25(0309)/20/EMR-II
The first author is thankful to the UGC, Government of India, (JRF/2016/409284) for its financial support. The second author gratefully acknowledges the support received from the MHRD, Government of India. The third author is grateful to the CSIR, India (No. 25(0309)/20/EMR-II) for its support.
Received: 02.07.2021
Revised: 18.07.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 1, Pages 93–102
DOI: https://doi.org/10.1134/S0001434622010102
Bibliographic databases:
Document Type: Article
Language: English
Citation: K. Z. Najiya, Munnu Sonkar, C. S. Sastry, “Local Recovery Bounds for Prior Support Constrained Compressed Sensing”, Math. Notes, 111:1 (2022), 93–102
Citation in format AMSBIB
\Bibitem{NajSonSas22}
\by K.~Z.~Najiya, Munnu~Sonkar, C.~S.~Sastry
\paper Local Recovery Bounds for Prior Support Constrained
Compressed Sensing
\jour Math. Notes
\yr 2022
\vol 111
\issue 1
\pages 93--102
\mathnet{http://mi.mathnet.ru/mzm13399}
\crossref{https://doi.org/10.1134/S0001434622010102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4360086}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000760397500010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85125496918}
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